What is the Least Common Multiple of 52654 and 52665?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 52654 and 52665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52654 and 52665, than apply into the LCM equation.

GCF(52654,52665) = 1
LCM(52654,52665) = ( 52654 × 52665) / 1
LCM(52654,52665) = 2773022910 / 1
LCM(52654,52665) = 2773022910

Least Common Multiple (LCM) of 52654 and 52665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52654 and 52665. First we will calculate the prime factors of 52654 and 52665.

Prime Factorization of 52654

Prime Factorization of 52665

Now multiplying the highest exponent prime factors to calculate the LCM of 52654 and 52665.

LCM(52654,52665) = 2¹ × 7¹ × 3761¹ × 3¹ × 5¹ × 3511¹
LCM(52654,52665) = 2773022910